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Finding the Fourth Proportional to 2,409.02, 3,613.52 and 947.14

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Solution

The fourth proportional to 2,409.02, 3,613.52 and 947.14 is: 1,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.02 : 3,613.52 = 947.14 : x
  2. Step 2: Convert to fraction form
    2,409.02/3,613.52 = 947.14/x
  3. Step 3: Cross multiply
    2,409.02x = 3,613.52 × 947.14
  4. Step 4: Simplify right side
    2,409.02x = 3,422,509.33
  5. Step 5: Solve for x
    x = 3,422,509.33/2,409.02
  6. Step 6: Final answer
    x = 1,420.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.